Apparent anomalous diffusion and non-Gaussian distributions in a simple mobile–immobile transport model with Poissonian switching

  title={Apparent anomalous diffusion and non-Gaussian distributions in a simple mobile–immobile transport model with Poissonian switching},
  author={Timo J. Doerries and Aleksei V. Chechkin and Ralf Metzler},
  journal={Journal of the Royal Society Interface},
We analyse mobile–immobile transport of particles that switch between the mobile and immobile phases with finite rates. Despite this seemingly simple assumption of Poissonian switching, we unveil a rich transport dynamics including significant transient anomalous diffusion and non-Gaussian displacement distributions. Our discussion is based on experimental parameters for tau proteins in neuronal cells, but the results obtained here are expected to be of relevance for a broad class of processes… 
1 Citation

Figures from this paper

Active Brownian motion of strongly coupled charged grains driven by laser radiation in plasma

The systems of active Brownian grains can be considered as open systems, in which there is an exchange of energy and matter with the environment. The collective phenomena of active Brownian grains

Rate equations, spatial moments, and concentration profiles for mobile-immobile models with power-law and mixed waiting time distributions.

We present a framework for systems in which diffusion-advection transport of a tracer substance in a mobile zone is interrupted by trapping in an immobile zone. Our model unifies different model

Fractal mobile/immobile solute transport

A fractal mobile/immobile model for solute transport assumes power law waiting times in the immobile zone, leading to a fractional time derivative in the model equations. The equations are equivalent

Non-universal tracer diffusion in crowded media of non-inert obstacles.

It is concluded that tracer-obstacle adsorption and binding triggers a transient anomalous diffusion, which has implications for the diffusion, transport, and spreading of chemical components in highly crowded environments inside living cells and other structured liquids.

A model of non-Gaussian diffusion in heterogeneous media

Recent progress in single-particle tracking has shown evidence of the non-Gaussian distribution of displacements in living cells, both near the cellular membrane and inside the cytoskeleton. Similar

From diffusion in compartmentalized media to non-Gaussian random walks

The results suggest that the observed exponential decay is a general feature of the transient regime in compartmentalized media.

Anomalous yet Brownian

Although the exponential tail is reminiscent of glassy systems, in fact, these dynamics are exceptionally rapid, and are compared with particle trajectories that are at first subdiffusive but Fickian at the longest measurement times, finding that displacement probability distributions fall onto the same master curve in both regimes.

Disorder-induced Fickian, yet non-Gaussian diffusion in heterogeneous media

Fickian yet non-Gaussian diffusion is observed in several biological and soft matter systems, yet the underlying mechanisms behind the emergence of non-Gaussianity while retaining a linear mean

Diffusing diffusivity: a model for anomalous, yet Brownian, diffusion.

A generic model where there is diffusivity memory but no direction memory in the particle trajectory is presented, and it is shown that it leads to both a linear MSD and a non-Gaussian G(x,t) at short times.

The Hitchhiker model for Laplace diffusion processes in the cell environment

Aggregation and fragmentation of single molecules in the cell environment lead to a spectrum of diffusivities and to statistical laws of movement very different from typical Brownian motion. Current

Length Scales in Brownian yet Non-Gaussian Dynamics

According to the classical theory of Brownian motion, the mean squared displacement of diffusing particles evolves linearly with time whereas the distribution of their displacements is Gaussian.